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Authors: Harish Chandra Rajpoot
In this work, the principal geometric parameters of an icosidodecahedron comprising 20 congruent equilateral triangular faces and 12 congruent regular pentagonal faces of equal edge length are analytically determined. These parameters include the normal distances and solid angles subtended by the faces, as well as the inner radius, outer radius, mean radius, surface area, and volume. The calculations are carried out using HCR’s formula for regular polyhedra, a generalized dimensional formulation applicable to all five Platonic solids, namely the regular tetrahedron, hexahedron (cube), octahedron, dodecahedron, and icosahedron. The versatility of the proposed formula further enables its application to the analysis, design, and geometric modeling of truncated polyhedra.
Comments: 10 Pages. 2 Figures
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[v1] 2026-03-02 01:18:20
Unique-IP document downloads: 81 times
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